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arXiv · 2207.12222

Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity

Luca Bisconti·Matteo Caggio
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Abstract

We consider the compressible Navier-Stokes system describing the motion of a barotropic fluid with density dependent viscosity confined in a three-dimensional bounded domain $\Omega$. We show the convergence of the weak solution to the compressible Navier-Stokes system to the strong solution to the compressible Euler system when the viscosity and the damping coefficients tend to zero.

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Luca Bisconti, Matteo Caggio. 2022-07-25. Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity. https://arxiv.org/abs/2207.12222

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